71202220217 has 16 divisors (see below), whose sum is σ = 73953081600. Its totient is φ = 68471645760.

The previous prime is 71202220213. The next prime is 71202220223.

71202220217 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71202220217 - 2² = 71202220213 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71202220211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7635884 + ... + 7645202.

It is an arithmetic number, because the mean of its divisors is an integer number (4622067600).

Almost surely, 2^71202220217 is an apocalyptic number.

It is an amenable number.

71202220217 is a deficient number, since it is larger than the sum of its proper divisors (2750861383).

71202220217 is a wasteful number, since it uses less digits than its factorization.

71202220217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376.

The product of its (nonzero) digits is 1568, while the sum is 26.

The spelling of 71202220217 in words is "seventy-one billion, two hundred two million, two hundred twenty thousand, two hundred seventeen".